\(\left(\dfrac{4}{27}\right)^x=\dfrac{64}{3\cdot9^4}\)
=>\(\left(\dfrac{4}{27}\right)^x=\dfrac{4^3}{3\cdot\left(3^2\right)^4}=\dfrac{4^3}{3^9}=\left(\dfrac{4}{3^3}\right)^3\)
=>\(\left(\dfrac{4}{27}\right)^x=\left(\dfrac{4}{27}\right)^3\)
=>x=3
\(\left(\dfrac{4}{27}\right)^x=\dfrac{64}{3.9^4}\)
\(\Rightarrow\left(\dfrac{4}{27}\right)^x=\dfrac{4^3}{3.\left(3^2\right)^4}\)
\(\Rightarrow\left(\dfrac{4}{27}\right)^x=\dfrac{4^3}{3.3^8}\)
\(\Rightarrow\left(\dfrac{4}{27}\right)^x=\dfrac{4^3}{3^9}\)
\(\Rightarrow\left(\dfrac{4}{27}\right)^x=\dfrac{4^3}{\left(3^3\right)^3}\)
\(\Rightarrow\left(\dfrac{4}{27}\right)^x=\left(\dfrac{4}{27}\right)^3\)
\(\Rightarrow x=3\)
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